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Finding the Fourth Proportional to 360,099.76, 496,942.88 and 198,958.52

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Solution

The fourth proportional to 360,099.76, 496,942.88 and 198,958.52 is: 274,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,099.76 : 496,942.88 = 198,958.52 : x
  2. Step 2: Convert to fraction form
    360,099.76/496,942.88 = 198,958.52/x
  3. Step 3: Cross multiply
    360,099.76x = 496,942.88 × 198,958.52
  4. Step 4: Simplify right side
    360,099.76x = 98,871,019,929.34
  5. Step 5: Solve for x
    x = 98,871,019,929.34/360,099.76
  6. Step 6: Final answer
    x = 274,565.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.